Write in y=mx+b Form 6x+6y=6

$6 x + 6 y = 6$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Subtract $6 x$ from both sides of the equation.

$6 y = 6 - 6 x$

Divide each term in $6 y = 6 - 6 x$ by $6$ and simplify.

Divide each term in $6 y = 6 - 6 x$ by $6$ .

$\frac{6 y}{6} = \frac{6}{6} + \frac{- 6 x}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{6}{6} + \frac{- 6 x}{6}$

Divide $y$ by $1$ .

$y = \frac{6}{6} + \frac{- 6 x}{6}$

Simplify the right side.

Simplify each term.

Divide $6$ by $6$ .

$y = 1 + \frac{- 6 x}{6}$

Cancel the common factor of $- 6$ and $6$ .

Factor $6$ out of $- 6 x$ .

$y = 1 + \frac{6 (- x)}{6}$

Cancel the common factors.

Factor $6$ out of $6$ .

$y = 1 + \frac{6 (- x)}{6 (1)}$

Cancel the common factor.

$y = 1 + \frac{6 (- x)}{6 \cdot 1}$

Rewrite the expression.

$y = 1 + \frac{- x}{1}$

Divide $- x$ by $1$ .

$y = 1 - x$

Reorder $1$ and $- x$ .

$y = - x + 1$